Hybrid feedback stabilization of systems with quantized signals

Research output: Contribution to journalArticlepeer-review


This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general types of quantizers affecting the state of the system, the measured output, or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems, and input-to-state stability.

Original languageEnglish (US)
Pages (from-to)1543-1554
Number of pages12
Issue number9
StatePublished - Sep 2003


  • Hybrid control
  • Input-to-state stability
  • Lyapunov function
  • Quantization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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